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math.AP2025
Finite time blow up solutions for heat equations with Neumann boundary conditions on
Xiang Fang, Juncheng Wei, Youquan Zheng
We consider the nonlinear heat equations with Neumann boundary conditions $$ \begin{cases} u_{t}=Δu & \text{in}\ \mathbb{R}_{+}^{4} \times(0, T) ,\\ -\frac{d u}{d x_{4}}(\tilde{x},…
math.AP2025
Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schrödinger equations
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +2
In this paper, we investigate positive radial solutions to double-power nonlinear stationary Schrodinger equations in three space dimensions. It is now known that the non-uniquenes…